Home / 3,171.78-4,758.71-1,416.57

Finding the Fourth Proportional to 3,171.78, 4,758.71 and 1,416.57

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Solution

The fourth proportional to 3,171.78, 4,758.71 and 1,416.57 is: 2,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.78 : 4,758.71 = 1,416.57 : x
  2. Step 2: Convert to fraction form
    3,171.78/4,758.71 = 1,416.57/x
  3. Step 3: Cross multiply
    3,171.78x = 4,758.71 × 1,416.57
  4. Step 4: Simplify right side
    3,171.78x = 6,741,038.74
  5. Step 5: Solve for x
    x = 6,741,038.74/3,171.78
  6. Step 6: Final answer
    x = 2,125.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.